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Use (bit.ly e-t-c) shorten website is my need for my work but if i give 4000 unique visitors per day
to (bit.ly) they are not giving single cent to me On the other hand in my thinking they are Earning with our visitor's because no one purchase a domain just for fun

I have the source to get more then 4000 visitors per day and In this more then 50% from US CA UK and AS
Use (bit.ly e-t-c) shorten website is my need for my work but if i give 4000 unique visitors per day
to (bit.ly) they are not giving single cent to me On the other hand in my thinking they are Earning with our visitor's because no one purchase a domain just for fun...........

Since you are focusing only on the shorten the link and not to disply ads like adfly, you wont be making any money the users will come shorten the url and leave the site. However, once you reach the 4000 visitors target your alexa rank will go down and you can than sell the hole website for$x,xxx easily only flippa.

Suggested: Since you are not planning to display ads when someone click on your shorten url an make it mandatory for users to enter there email address, so that you can have a good list of subscribers/followers.

Later you can promote any affiliate product to them by sending emails.

I am sure if you explain this on your site that you will not show any ads while opening there site the user will happily enter there email address.

Also as mentioned above you will make some money from adsense as well from 4000 visitors.